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kati45 [8]
3 years ago
6

SELECILIU DUBITULUI

Mathematics
1 answer:
Vika [28.1K]3 years ago
5 0

Answer:yes

Step-by-step explanation:

f(-2)=2f

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The probability of landing on a shaded sector is 2/5.
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Write in word form:<br><br> 436,783,210
Igoryamba

Answer:

Four hundred thirty six million, seven hundred eighty-three thousand, two hundred ten

Step-by-step explanation:

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Psychologist Michael Cunningham conducted a survey of university women to see whether, upon graduation, they would prefer to mar
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Answer:

A.The probability that exactly six of Nate's dates are women who prefer surgeons is 0.183.

B. The probability that at least 10 of Nate's dates are women who prefer surgeons is 0.0713.

C. The expected value of X is 6.75, and the standard deviation of X is 2.17.

Step-by-step explanation:

The appropiate distribution to us in this model is the binomial distribution, as there is a sample size of n=25 "trials" with probability p=0.25 of success.

With these parameters, the probability that exactly k dates are women who prefer surgeons can be calculated as:

P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{25}{k} 0.25^{k} 0.75^{25-k}\\\\\\

A. P(x=6)

P(x=6) = \dbinom{25}{6} p^{6}(1-p)^{19}=177100*0.00024*0.00423=0.183\\\\\\

B. P(x≥10)

P(x\geq10)=1-P(x

P(x=0) = \dbinom{25}{0} p^{0}(1-p)^{25}=1*1*0.0008=0.0008\\\\\\P(x=1) = \dbinom{25}{1} p^{1}(1-p)^{24}=25*0.25*0.001=0.0063\\\\\\P(x=2) = \dbinom{25}{2} p^{2}(1-p)^{23}=300*0.0625*0.0013=0.0251\\\\\\P(x=3) = \dbinom{25}{3} p^{3}(1-p)^{22}=2300*0.0156*0.0018=0.0641\\\\\\P(x=4) = \dbinom{25}{4} p^{4}(1-p)^{21}=12650*0.0039*0.0024=0.1175\\\\\\P(x=5) = \dbinom{25}{5} p^{5}(1-p)^{20}=53130*0.001*0.0032=0.1645\\\\\\P(x=6) = \dbinom{25}{6} p^{6}(1-p)^{19}=177100*0.0002*0.0042=0.1828\\\\\\

P(x=7) = \dbinom{25}{7} p^{7}(1-p)^{18}=480700*0.000061*0.005638=0.1654\\\\\\P(x=8) = \dbinom{25}{8} p^{8}(1-p)^{17}=1081575*0.000015*0.007517=0.1241\\\\\\P(x=9) = \dbinom{25}{9} p^{9}(1-p)^{16}=2042975*0.000004*0.010023=0.0781\\\\\\

P(x\geq10)=1-(0.0008+0.0063+0.0251+0.0641+0.1175+0.1645+0.1828+0.1654+0.1241+0.0781)\\\\P(x\geq10)=1-0.9287=0.0713

C. The expected value (mean) and standard deviation of this binomial distribution can be calculated as:

E(x)=\mu=n\cdot p=25\cdot 0.25=6.25\\\\\sigma=\sqrt{np(1-p)}=\sqrt{25\cdot 0.25\cdot 0.75}=\sqrt{4.69}\approx2.17

4 0
3 years ago
Multiplying and Dividing by Powers of 10 When multiplying a number by 10, move the decimal to the right. When multiplying a numb
just olya [345]

Answer:

Because we actually divide by 10 when a number is multiplied by 0.1.

Step-by-step explanation:

Let a be a number.

When we multiply a number by 10:

a \times 10 = 10 a (One '0' is increased in the number)

For example:

23 \times 10 = 230

Considering a decimal number:

2.3 \times 10 = 23

Multiplying a number with 0.1 (which is actually \frac{1}{10}) means dividing the number by 10.

23\times 0.1 =23\times \frac{1}{10}=2.3

Considering a decimal number:

2.3 \times 0.1 = 2.3 \times \frac{1}{10} = 0.23

<em>Therefore, When multiplying a number by 0.1, move the decimal to the left.</em>

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Slope-intercept form of the equation for the line?
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Answer:

\large\boxed{y=-\dfrac{3}{10}x+\dfrac{1}{2}}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points from the graph (-5, 2) and (5, -1).

Substitute:

m=\dfrac{-1-2}{5-(-5)}=\dfrac{-3}{10}=-\dfrac{3}{10}

We have the equation in form:

y=-\dfrac{3}{10}x+b

Put the coordinates of the point (5, -1) to the equation:

-1=-\dfrac{3}{10}(5)+b

-1=-\dfrac{3}{2}+b

-\dfrac{2}{2}=-\dfrac{3}{2}+b            <em>add 3/2 to both sides</em>

\dfrac{1}{2}=b\to b=\dfrac{1}{2}

4 0
3 years ago
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